Large deflection dynamic responses of laminated composite cylindrical shells under impact are analyzed by the geometrically nonlinear finite element method based on a generalized Sander’s shell theory with the first order transverse shear deformation and the von-Karman large deflection assumption. A modified indentation law with inelastic indentation is employed for the contact force. The nonlinear finite element equations of motion of shell and an impactor along with the contact laws are solved numerically using Newmark’s time marching integration scheme in conjunction with Akay type successive iteration in each step. The ply failure region of the laminated shell is estimated using the Tsai-Wu quadratic interaction criteria. Numerical results, including the contact force histories, deflections and strains are presented and compared with the ones by linear analysis. The effect of the radius of curvature on the composite shell behaviors is investigated and discussed.
This is a preview of subscription content, log in to check access.
Buy single article
Instant access to the full article PDF.
Price includes VAT for USA
Aggour, H. and Sun, C. T., 1988, “Finite Element Analysis of a Laminated Composite Plate Subjected to Circularly Distributed Central Impact Loading,”Computers & Structures, Vol. 28, No. 6, pp. 729–736.
Akay, H. U., 1980, “Dynamic Large Deflection Analysis of Plates Using Mixed Finite Elements,”Computers & Structures, Vol. 11, pp. 1–11.
Bachrach, W. E. and Hansen, R. S., 1988, “Mixed Finite-Element Method for Composite Cylinder Subjected to Impact,”AIAA J., Vol. 27, No. 5, pp. 632–638.
Chen, J. K. and Sun, C. T., 1985, “Dynamic Large Deflection Response of Composite Laminates Subjected to Impact,”Composite Structures, Vol. 4, pp. 59–73.
Cho, C. and Zhao, G., 1999, “Dynamic Response and Damage of Composite Shell under Impact,”KSME Int. J., Vol. 13, No. 9, pp. 596–608.
Choi, I. H. and Hong, C. S., 1994, “New Approach for Simple Prediction of Impact Force History on Composite Laminates,”AIAA J., Vol. 32, No. 10, pp. 2067–2072.
Crook, A. W., 1952, “A Study of Some Impacts Between Metal Bodies by a Piezoelectric Method,” Proceedings of the Royal Society, London, Series A, Vol. 212, p. 377.
Gibson, R. F., 1994,Principles of Composite Material Mechanics, McGraw Hill, pp. 110–111.
Gong, S. W., Toh, S. L. and Shim, V. P. W., 1994, “The Elastic Response of Orthotropic Laminated Cylindrical Shells to Low-Velocity Impact,”Composite Engineering, Vol. 4, No. 2, pp. 247–266.
Matemilola, S. A. and Stronge, W. J., 1997, “Impact Response of Composite Cylinders,”Int. J. of Solids and Structures, Vol. 34, pp. 2669–2684.
Rajagopalan, K., 1993,Finite Element Buckling Analysis of Stiffened Cylindrical Shells, A. A. Balkema (Rotterdam), pp. 27–28.
Reddy, J. N., 1997,Mechanics of Laminated Composite Plates: Theory and Analysis, CRC Press Inc., pp. 141–142.
Shivakumar, K. N., Elber, W. and Illg, W., 1985, “Prediction of Impact Force and Duration Due to Low-Velocity Impact on Circular Composite Laminates,”J. Applied Mechanics, Vol. 52, pp. 674–680.
Tan, T. M. and Sun, C. T., 1985, “Use of Statical Indentation Law in the Impact Analysis of Laminated Composite Plate,”J. Applied Mechanics, Vol. 52, pp. 6–12.
Willis, J. R., 1966, “Hertzian Contact of Anisotropic Bodies,”Journal of Mechanics and Physics of Solids, Vol. 14, pp. 163–176.
Wu, E. B. and Yen, C. S., 1994, “The Contact Behavior Between Laminated Composite Plates and Rigid Spheres,”J. Applied Mechanics, Vol. 61, pp. 60–66.
Yang, S. H. and Sun, C. T., 1982, “Indentation Law for Composite Laminates,”Composite Materials: Testing and Design, ASTM STP 787, ASTM, pp. 425–449.
Zhao, G., 2000,Impact Response and Postbuckling Behavior of Composite Cylindrical Shell, Ph. D. Thesis, Inha University, pp. 11–18.
About this article
Cite this article
Cho, C., Zhao, G. & Kim, C.B. Nonlinear finite element analysis of composite shell under impact. KSME International Journal 14, 666–674 (2000). https://doi.org/10.1007/BF03184442
- Composite Shell
- Non-Linear Finite Element Analysis